ConvertOnlineDegrees to Radians calculator
Enter a number to see the converted value immediately.
Degrees to Radians formula
Use this formula to convert degrees to radians:
Calculation
Enter a valid number above to see the formula with your value substituted step by step.
Degrees to Radians Conversion Table
Reference values for converting Degrees to Radians.
| Degrees (°) | Radians (rad) |
|---|---|
| 0 ° | 0 rad |
| 1 ° | 0.01745329252 rad |
| 10 ° | 0.1745 rad |
| 45 ° | 0.7854 rad |
| 90 ° | 1.5708 rad |
| 180 ° | 3.1416 rad |
| 360 ° | 6.2832 rad |
| 1000 ° | 17.4533 rad |
Worked example
Convert 45 Degrees to Radians
Radians = 45 × π / 180 = 0.7854 Radians
About these units
Degrees
Degrees are a widely used unit of angular measurement, especially in geometry, trigonometry, and everyday applications. A full circle is divided into 360 degrees, with each degree further divided into 60 minutes and each minute into 60 seconds. Degrees offer an intuitive way to express angles, and they are prevalent in fields ranging from navigation to astronomy, as well as in common day-to-day measurements.
Radians
Radians are a fundamental unit of angular measurement in the International System of Units (SI). One radian is the angle subtended at the center of a circle by an arc whose length is equal to the radius of the circle. Radians are essential in mathematics and physics, particularly in calculus and trigonometry, where they simplify equations and allow for the natural expression of rotational and periodic phenomena.
{"formula":"x * π / 180","precision":11,"x_desc":"Degrees","y_desc":"Radians"}